Least Common Multiple of 8327 and 8335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8327 and 8335 the smallest integer that is 69405545 that is divisible by both numbers.

Least Common Multiple (LCM) of 8327 and 8335 is 69405545.

LCM(8327,8335) = 69405545

LCM of 8327 and 8335

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8327 and 8335

LCM of 8327 and 8335 is 69405545

Least common multiple can be found by multiplying the highest exponent prime factors of 8327 and 8335. First we will calculate the prime factors of 8327 and 8335.

Prime Factorization of 8327


11 8327
757 757
1

Prime factors of 8327 are 11,757. Prime factorization of 8327 in exponential form is:

8327 = 111×7571

Prime Factorization of 8335


5 8335
1667 1667
1

Prime factors of 8335 are 5,1667. Prime factorization of 8335 in exponential form is:

8335 = 51×16671

Now multiplying the highest exponent prime factors to calculate the LCM of 8327 and 8335.

LCM(8327,8335) = 51×111×7571×16671
LCM(8327,8335) = 69405545

Factors of 8327

List of positive integer factors of 8327 that divides 8327 without a remainder.

1, 11, 757, 8327

Factors of 8335

List of positive integer factors of 8335 that divides 8335 without a remainder.

1, 5, 1667, 8335

Least Common Multiple of 8327 and 8335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8327 and 8335, than apply into the LCM equation.

GCF(8327,8335) = 1
LCM(8327,8335) = ( 8327 × 8335) / 1
LCM(8327,8335) = 69405545 / 1
LCM(8327,8335) = 69405545

Properties of LCM 8327 and 8335

(i) The LCM of 8335 and 8327 is associative

LCM of 8327 and 8335 = LCM of 8335 and 8327

Related Least Common Multiples of 8327

Related Least Common Multiples of 8335

Frequently Asked Questions on LCM of 8327 and 8335

1. What is the LCM of 8327 and 8335?

Answer: LCM of 8327 and 8335 is 69405545.

2. What are the Factors of 8327?

Answer: Factors of 8327 are 1, 11, 757, 8327. There are 4 integers that are factors of 8327. The greatest factor of 8327 is 8327.

3. What are the Factors of 8335?

Answer: Factors of 8335 are 1, 5, 1667, 8335. There are 4 integers that are factors of 8335. The greatest factor of 8335 is 8335.

4. How to Find the LCM of 8327 and 8335?

Answer:

Least Common Multiple of 8327 and 8335 = 69405545

Step 1: Find the prime factorization of 8327

8327 = 11 x 757

Step 2: Find the prime factorization of 8335

8335 = 5 x 1667

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 69405545 = 5 x 11 x 757 x 1667

Step 4: Therefore, the least common multiple of 8327 and 8335 is 69405545.